Dilatacion Superficial Ejercicios Resueltos
ΔA=A0⋅β⋅ΔTcap delta cap A equals cap A sub 0 center dot beta center dot cap delta cap T O expresada para hallar el área final ( Afcap A sub f
A2 = A1 + ΔA = 2 m^2 + 0,00132 m^2 = 2,00132 m^2
A continuación, se presentan ejercicios resueltos paso a paso, variando la incógnita a despejar. Ejercicio 1: Cálculo del Área Final de una Placa dilatacion superficial ejercicios resueltos
: A PDF problem set covering various types of thermal expansion, including cross-sectional changes in steel. Solved Example Step-by-Step Problem: A glass window has an initial area ( A0cap A sub 0 21∘C21 raised to the composed with power C . What is its final area ( Afcap A sub f ) if the temperature rises to 35∘C35 raised to the composed with power C Identify the variables: (coefficient of superficial expansion) for glass (value varies by glass type). Apply the formula:
Luego, podemos calcular el cambio en el volumen (ΔV): ΔA=A0⋅β⋅ΔTcap delta cap A equals cap A sub
$$A_f = A_0 (1 + \beta \Delta T)$$ $$A_f = 25\pi \left[1 + (24 \times 10^-6)(200)\right]$$ $$A_f = 25\pi \left[1 + 0.0048\right]$$ $$A_f = 25\pi \left[1.0048\right]$$ $$A_f \approx 25.12\pi , \textcm^2$$
AI Mode history New thread AI Mode history You're signed out To access history and more, sign in to your account Delete all searches? You won't be able to return to these responses Delete all Manage public links See my AI Mode history Shared public links What is its final area ( Afcap A
Af=200[1+0,00646]cap A sub f equals 200 open bracket 1 plus 0 comma 00646 close bracket Af=200×1,00646cap A sub f equals 200 cross 1 comma 00646
Af=0.7854⋅[1+(4.8×10-5⋅60)]cap A sub f equals 0.7854 center dot open bracket 1 plus open paren 4.8 cross 10 to the negative 5 power center dot 60 close paren close bracket
Ahora apliquemos la teoría con una serie de problemas prácticos. Te recomiendo intentar resolverlos por tu cuenta antes de revisar la solución.
gamma equals 2 center dot open paren 1.2 cross 10 to the negative 5 power close paren equals 2.4 cross 10 to the negative 5 power space raised to the composed with power C to the negative 1 power 3. Calcular la variación de temperatura ( cap delta cap T